729200 has 30 divisors (see below), whose sum is σ = 1752864. Its totient is φ = 291520.

The previous prime is 729199. The next prime is 729203. The reversal of 729200 is 2927.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 512 + ... + 1311.

2⁷²⁹²⁰⁰ is an apocalyptic number.

It is an amenable number.

729200 is an abundant number, since it is smaller than the sum of its proper divisors (1023664).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

729200 is a wasteful number, since it uses less digits than its factorization.

729200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 729200 is about 853.9320816084. The cubic root of 729200 is about 90.0082297001.

It can be divided in two parts, 729 and 200, that added together give a palindrome (929).

The spelling of 729200 in words is "seven hundred twenty-nine thousand, two hundred".